On Some Consequences of the Equation for the Markov Renewal Function of a Semi-Markov Process

We obtain chains of equations that relate the sojourn times of a semi-Markov process in a set of states to its Markov renewal function. We use the mathematical apparatus of the theory of Markov and semi-Markov processes.

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Bibliographische Detailangaben
Datum:2004
Hauptverfasser: Bondarenko, G. I., Бондаренко, Г. І.
Format: Artikel
Sprache:Ukrainisch
Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2004
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/3875
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Zusammenfassung:We obtain chains of equations that relate the sojourn times of a semi-Markov process in a set of states to its Markov renewal function. We use the mathematical apparatus of the theory of Markov and semi-Markov processes.